Gravitational Radiation from a Naked Singularity -- Odd-Parity Perturbation --
Abstract
It has been suggested that a naked singularity may be a good candidate for a strong gravitational wave burster. The naked singularity occurs in the generic collapse of an inhomogeneous dust ball. We study odd-parity mode of gravitational waves from a naked singularity of the Lema\^{\i}tre-Tolman-Bondi space-time. The wave equation for gravitational waves are solved by numerical integration using the single null coordinate. The result is that the naked singularity is not a strong source of the odd-parity gravitational radiation although the metric perturbation grows in the central region. Therefore, the Cauchy horizon in this space-time would be marginally stable against odd-parity perturbations.
Keywords
Cite
@article{arxiv.gr-qc/9904064,
title = {Gravitational Radiation from a Naked Singularity -- Odd-Parity Perturbation --},
author = {Hideo Iguchi and Tomohiro Harada and Ken-ichi Nakao},
journal= {arXiv preprint arXiv:gr-qc/9904064},
year = {2011}
}
Comments
14 pages, 7 figures, to be published in Prog. Theor. Phys. Final version, with minor changes. Reference 13 added